course_outline
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course_outline [2010/03/02 04:12] – jonathan | course_outline [2010/03/25 20:56] (current) – jonathan | ||
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Chapter XV: Development of sequential programs. Binary search. Merging Rules. | Chapter XV: Development of sequential programs. Binary search. Merging Rules. | ||
- | Celebrity example: Relations, functions, identity relation, inverse. | + | Celebrity example: Relations, functions, identity relation, inverse. |
**Required reading**: all of chapter IV and chapter V (Event-B proof obligation rules). | **Required reading**: all of chapter IV and chapter V (Event-B proof obligation rules). | ||
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===== Week 9: March 1===== | ===== Week 9: March 1===== | ||
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+ | Event refinement proof obligation (from Hallersted-Event-B-Notation-2006.pdf in the SVN). | ||
Use of Add Hypothesis (AH) and Case analysis (DC) in the theorem prover. Use RichPoor example. | Use of Add Hypothesis (AH) and Case analysis (DC) in the theorem prover. Use RichPoor example. | ||
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**Required reading**: chapter XV as covered in class and all of chapter IX (Mathematical Language). | **Required reading**: chapter XV as covered in class and all of chapter IX (Mathematical Language). | ||
- | **Exercises**: | + | **Exercises**: |
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+ | ===== Week 10: March 8===== | ||
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+ | Injections, surjections and bijections in Event-B. | ||
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+ | Requirements for the sorting algorithm. Initial specification using an anticipated event. First and second refinements leading to the use of merge rules for a loop within a loop. For the slides see [[http:// | ||
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+ | ===== Week 11: March 15===== | ||
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+ | Tuesday: Data refinement and Procedural Refinement. Illustration of these concepts using the Birthday Book example in which we write an initial specification, | ||
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+ | Thursday: Labtest2 | ||
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+ | ===== Week 12: March 22===== | ||
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+ | Tuesday: Dijkstra weakest precondition calculus and loop variants and invariants.Proving loop termination. Relationship of Dijkstra weakest precondition calculus to Event-B. Slides on the SVN. | ||
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+ | Thursday: Review of arithmetic, set theory, predicate logic and Event-B invariant and refinement proof obligations. Translation between set theoretic statements and predicate logic. Re-write rules. | ||
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+ | ===== Week 13: March 29===== | ||
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+ | Work through a complete example: requirements document, initial specification, | ||
course_outline.1267503127.txt.gz · Last modified: 2010/03/02 04:12 by jonathan